In this paper we review masterpieces of curved crease folding, the deployed
design methods and geometric studies on this special kind of paper folding.
Our goal is to make this work and its techniques accessible to enable further
development. By exploring masterpieces of the past and present of this still
underexplored field, this paper aims to contribute to the development of novel
design methods to achieve shell structures and deployable structures that can
accommodate structural properties and design intention for a wide range of
materials.